A number of credible users on TGP that either owned both or currently have both units have stated that the 11R amp sims are basically the equal of the Axe (or close enough to it that you don't feel you are really missing anything) once they are dialed in.
The Axe I demo'd sounded no better to me than my 11R.
Vaisatchatrucci from TGP recently demo'd both and found that the 11R compared extremely well. You can look up his YT channel where he compares the 11R to a Mesa Road King. IMHO it sounds basically the same.
11R is much more limited in regard to signal chain and FX but with the recent expansion, it is a killer unit for the money IMHO. YMMV.